We introduce a new wide class of finite-dimensional algebras which admit families of standard stable tubes (in the sense of Ringel [17]). In particular, we prove that there are many algebras of arbitrary nonzero (finite or infinite) global dimension whose Auslander-Reiten quivers admit faithful standard stable tubes.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm90-1-7,
author = {Andrzej Skowro\'nski},
title = {Generalized canonical algebras and standard stable tubes},
journal = {Colloquium Mathematicae},
volume = {89},
year = {2001},
pages = {77-93},
zbl = {1036.16008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm90-1-7}
}
Andrzej Skowroński. Generalized canonical algebras and standard stable tubes. Colloquium Mathematicae, Tome 89 (2001) pp. 77-93. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm90-1-7/